Will mark brainliest solve for x 32^ (x + 4) = 64^ (2x-1)

26/7 = x

Step-by-step explanation:

32^ (x + 4) = 64^ (2x-1)

Rewrite each as a power of 2

32 = 2^5 and 64 = 2^6

2^5^ (x + 4) = 2^6^ (2x-1)

We know a^b^c = a^ (b*c)

2^ (5 * (x + 4)) = 2^ (6 * (2x-1))

The bases are the same so the exponents are the same

5 * (x + 4) = 6 * (2x-1)

Distribute

5x + 20 = 12x - 6

Subtract 5x

20 = 7x - 6

Add 6 to each side

26 = 7x

Divide by 7

26/7 = x